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82957727874213 = 329217525319357
BaseRepresentation
bin10010110111001100011001…
…111001101011110010100101
3101212201200101200122210221200
4102313030121321223302211
541333134411313433323
6452234130513433113
723321332555205253
oct2267143171536245
9355650350583850
1082957727874213
11244841a1755075
12937991b26b799
133739b59976c2a
14166b2656295d3
1598cdc2e7d443
hex4b7319e6bca5

82957727874213 has 6 divisors (see below), whose sum is σ = 119827829151654. Its totient is φ = 55305151916136.

The previous prime is 82957727874211. The next prime is 82957727874239. The reversal of 82957727874213 is 31247872775928.

82957727874213 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 77 + 278 + 74 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42539184150849 + 40418543723364 = 6522207^2 + 6357558^2 .

It is not a de Polignac number, because 82957727874213 - 21 = 82957727874211 is a prime.

It is a super-2 number, since 2×829577278742132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82957727874211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4608762659670 + ... + 4608762659687.

It is an arithmetic number, because the mean of its divisors is an integer number (19971304858609).

Almost surely, 282957727874213 is an apocalyptic number.

It is an amenable number.

82957727874213 is a deficient number, since it is larger than the sum of its proper divisors (36870101277441).

82957727874213 is a wasteful number, since it uses less digits than its factorization.

82957727874213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217525319363 (or 9217525319360 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

The spelling of 82957727874213 in words is "eighty-two trillion, nine hundred fifty-seven billion, seven hundred twenty-seven million, eight hundred seventy-four thousand, two hundred thirteen".

Divisors: 1 3 9 9217525319357 27652575958071 82957727874213